Abstract We propose a theoretical construction of the master model for the deterministic microscopic traffic models with the assumption of identical drivers. The construction is based on a renormalisation like procedure that integrates out unimportant degrees of freedom. This leads to a universal mathematical structure of such models, enabling us to carry out a controlled expansion, allowing all deterministic microscopic traffic models to be compared and classified systematically. We illustrate the controlled expansion with a few examples. The theoretical construction also paves the way for us to obtain the master model from the microscopic empirical data, which will be discussed in A General Scheme for Deterministic Microscopic Traffic Models. Part II: Empirical Verifications.


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    Title :

    A General Scheme for Deterministic Microscopic Traffic Models. Part I: Theoretical Construction


    Contributors:

    Published in:

    Publication date :

    2016-01-01


    Size :

    8 pages




    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




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